While strolling through Tyrannia one bright sunny day, you came across a Grarrl egg. It was a perfect sphere. You placed it in a tub of water and found that it displaced exactly 280,000 cubic centimetres. However, it was floating on the water, and only 72% of the surface area of the egg was below the water line.
What was the total volume of the egg, in cubic centimetres? Please round to the nearest whole number.
hmmm math...but shouldnt be too hard
So, if the sphere displaced 280,000cm cubed and 72% of the surface area was underwater is 280,000cm cubed 72% of the volume??
Looks too simple..
harry827 wrote:So, if the sphere displaced 280,000cm cubed and 72% of the surface area was underwater is 280,000cm cubed 72% of the volume??
Looks too simple..
no 72% of the surface area is underwater not 72% of the volume. so you have to figure out how the surface area relates to the volume
that's true...and if you check when it's going to end it says in a few weeks o_O
oh i just noticed that. i hope it doesn't take that long to solve it
surface area of sphere = 4pr^2
Volume of sphere = 4/3pr^3
that's exactly what i was looking at harry =D
So if 72% displaces 280,000 does 100% displace 280,000/72*100?
Or not because its a sphere?
try setting up a proportion. 72% gave you 280,000cm3 so 100% should give you xcm3 72/280,000 = 100/x
That is what I thought at first, but it is 72% of the surface not the volume...
lenny
But it sounds like they are just trying to trick people, because 72% of the surface area of the egg was below the water line, then isn't 72% of the egg under water?
So then why isn't 280,000 cubic centimetres the part that's under the water?
So then wouldn't you just divid 280,000 by 72% then just multiply it by 100 to get the size of the egg?
Or did I miss something, which would not be the first time, and rounding the answer would make it ... 388,889.
You placed it in a tub of water and found that it displaced exactly 280,000 cubic centimetres. However, it was floating on the water, and only 72% of the surface area of the egg was below the water line.
lenny
I'll be so glad you this one to be figured out. All this math is beyond me.
HELP!
I put in 280,000 since as far as I know in normal sweet water ships displace the amount of water of their actual weight, and they're floating too. *shrugs* I'll never be under the first 10 anyway, so I can't get a better trophy and I don't really care about the peanuts the LC's given out lately. :/
If 72% ------- 280.000 cc
100%------- X
X= (100 x 280.000)/72
X= 388.88 cc
like that???
it is a perfect sphere, and it is an egg, and is floating, which means air is in it as well.... hrm
x=388888.888 repeating which becomes 388889 i guess
air is included in the formula for volume of a sphere lets just say 388889 was the answer try putting it back in the formula
yes...but wait
Arquimide's law says that every body that gets into water experience a push from down to up, equal to the weight of the liquid gone
PLEASE TRY TO UNDERSTAND MY ENGLISH
So...
but i don't see how that applies to this problem
